ODE
\[ y'''(x)+\sin (x)=0 \] ODE Classification
[[_3rd_order, _quadrature]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.16387 (sec), leaf count = 21
\[\{\{y(x)\to -\cos (x)+x (c_3 x+c_2)+c_1\}\}\]
Maple ✓
cpu = 0.168 (sec), leaf count = 19
\[\left [y \left (x \right ) = \frac {x^{2} \textit {\_C1}}{2}-\cos \left (x \right )+\textit {\_C2} x +\textit {\_C3}\right ]\] Mathematica raw input
DSolve[Sin[x] + y'''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> C[1] + x*(C[2] + x*C[3]) - Cos[x]}}
Maple raw input
dsolve(diff(diff(diff(y(x),x),x),x)+sin(x) = 0, y(x))
Maple raw output
[y(x) = 1/2*x^2*_C1-cos(x)+_C2*x+_C3]